Finding the Third Proportional to 37,592 and 82,626

Step by Step Solution

1. Step 1: Write the proportion equation
   37,592 : 82,626 = 82,626 : x
2. Step 2: Convert to fraction form
   37,592/82,626 = 82,626/x
3. Step 3: Cross multiply
   37,592x = 82,626 × 82,626
4. Step 4: Simplify right side
   37,592x = 6,827,055,876
5. Step 5: Solve for x
   x = 6,827,055,876/37,592
6. Step 6: Final answer
   x = 181,609.28